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The number of values of x where f(x) = c...

The number of values of x where f(x) = `cos x + cos sqrt2` x attains its maximum value is

A

1

B

0

C

2

D

infinite

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The correct Answer is:
To find the number of values of \( x \) where the function \( f(x) = \cos x + \cos(\sqrt{2} x) \) attains its maximum value, we can follow these steps: ### Step 1: Identify the maximum value of the function The maximum value of \( \cos x \) is 1. Therefore, the maximum value of \( f(x) \) occurs when both \( \cos x \) and \( \cos(\sqrt{2} x) \) are equal to 1.
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